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Finding the Third Proportional to 8,511 and 11,554.50

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Solution

The third proportional to 8,511 and 11,554.50 is: 15,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511 : 11,554.50 = 11,554.50 : x
  2. Step 2: Convert to fraction form
    8,511/11,554.50 = 11,554.50/x
  3. Step 3: Cross multiply
    8,511x = 11,554.50 × 11,554.50
  4. Step 4: Simplify right side
    8,511x = 133,506,470.25
  5. Step 5: Solve for x
    x = 133,506,470.25/8,511
  6. Step 6: Final answer
    x = 15,686.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.